The input/output complexity of sorting and related problems, Communications of the ACM, vol.31, issue.9, pp.1116-1127, 1988. ,
DOI : 10.1145/48529.48535
URL : https://hal.archives-ouvertes.fr/inria-00075827
PRIMES is in P, Annals of Mathematics, vol.160, issue.2, pp.781-793, 2004. ,
DOI : 10.4007/annals.2004.160.781
The Buffer Tree: A Technique for Designing Batched External Data Structures, Algorithmica, vol.37, issue.1, pp.1-24, 2003. ,
DOI : 10.1007/s00453-003-1021-x
Cacheoblivious priority queue and graph algorithm applications, Proc. of the 34th Annual Symposium on Theory of Computing, pp.268-276, 2002. ,
RAM-Efficient External Memory Sorting, Algorithms and Computation, pp.491-501 ,
DOI : 10.1007/s00453-015-0032-8
Prime sieves using binary quadratic forms, Mathematics of Computation, vol.73, issue.246, pp.1023-1030, 2004. ,
DOI : 10.1090/S0025-5718-03-01501-1
The segmented sieve of eratosthenes and primes in arithmetic progressions to 1012, BIT, vol.17, issue.2, pp.121-127, 1977. ,
DOI : 10.1007/BF01932283
An incremental primal sieve, Acta Informatica, vol.24, issue.2, pp.119-125, 1986. ,
DOI : 10.1007/BF00289493
The first occurrence of large gaps between successive primes, Mathematics of Computation, vol.27, issue.124, pp.959-963, 1973. ,
DOI : 10.1090/S0025-5718-1973-0330021-0
Primes of the form x 2 + ny 2 : Fermat, Class Field Theory, and Complex Multiplication, 1989. ,
A space-efficient fast prime number sieve, Information Processing Letters, vol.59, issue.2, pp.79-84, 1996. ,
DOI : 10.1016/0020-0190(96)00099-3
On the Complexity of Computing Prime Tables, Algorithms and Computation -26th International Symposium, ISAAC'15, 2015. ,
DOI : 10.1007/978-3-662-48971-0_57
CGOL?an algebraic notation for MACLISP users, 1977. ,
Dissecting a Sieve to Cut Its Need for Space, Algorithmic Number Theory, pp.297-312, 2000. ,
DOI : 10.1007/10722028_17
A linear sieve algorithm for finding prime numbers, Communications of the ACM, vol.21, issue.12, pp.999-1003, 1978. ,
DOI : 10.1145/359657.359660
An introduction to the theory of numbers, Bulletin of the American Mathematical Society, vol.35, issue.6, 1979. ,
DOI : 10.1090/S0002-9904-1929-04793-1
The Sieve of Eratosthenes Being an Account of His Method of Finding All the Prime Numbers, by the Rev, FRS. Philosophical Transactions, pp.327-347 ,
Primality Testing with Gaussian Periods, Lecture Notes in Computer Science, pp.1-1, 2002. ,
DOI : 10.1007/3-540-36206-1_1
Some new upper bounds on the generation of prime numbers, Communications of the ACM, vol.20, issue.9, pp.664-669, 1977. ,
DOI : 10.1145/359810.359838
Ein beitrag zur analytischen zahlentheorie, Journal fr die reine und angewandte Mathematik, pp.46-62, 1874. ,
World's largest prime number discovered ? all 17 million digits. https: //web.archive.org/web, 2013. ,
Dynamic Integer Sets with Optimal Rank, Select, and Predecessor Search, 2014 IEEE 55th Annual Symposium on Foundations of Computer Science, pp.166-175, 2014. ,
DOI : 10.1109/FOCS.2014.26
The pseudoprimes to 25·10 9, Mathematics of Computation, vol.35, issue.151, pp.1003-1026, 1980. ,
On pseudosquares and pseudopowers. Combinatorial number theory, pp.171-184, 2009. ,
A sublinear additive sieve for finding prime number, Communications of the ACM, vol.24, issue.1, pp.18-23, 1981. ,
DOI : 10.1145/358527.358540
Explaining the wheel sieve, Acta Informatica, vol.17, issue.4, pp.477-485, 1982. ,
DOI : 10.1007/BF00264164
Linear prime-number sieves: A family tree, Science of Computer Programming, vol.9, issue.1, pp.17-35, 1987. ,
DOI : 10.1016/0167-6423(87)90024-4
Fast algorithms: a multitape Turing machine implementation. B.I. Wissenschaftsverlag, 1994. ,
Algorithm 357: an efficient prime number generator [A1], Communications of the ACM, pp.563-564, 1969. ,
DOI : 10.1145/363235.363247
An introduction to prime number sieves, 1990. ,
The Pseudosquares Prime Sieve, Algorithmic number theory, pp.193-207, 2006. ,
DOI : 10.1007/11792086_15
Mertens' proof of mertens' theorem. arXiv:math/0504289, 2005. ,
External memory algorithms and data structures: dealing with massive data, ACM Computing Surveys, vol.33, issue.2, pp.209-271, 2001. ,
DOI : 10.1145/384192.384193
Edouard Lucas and primality testing, Canadian Mathematics Society Series of Monographs and Advanced Texts, issue.22, 1998. ,